Magma V2.19-8 Tue Aug 20 2013 16:17:25 on localhost [Seed = 829468152] Type ? for help. Type -D to quit. ==TRIANGULATION=BEGINS== % Triangulation v1650 geometric_solution 5.39201053 oriented_manifold CS_known 0.0000000000000002 1 0 torus 0.000000000000 0.000000000000 7 0 0 1 2 1302 2031 0132 0132 0 0 0 0 0 0 0 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.492562687375 0.390426311319 3 4 2 0 0132 0132 2031 0132 0 0 0 0 0 0 0 0 0 0 -1 1 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 0 -1 0 0 0 0 1 -1 0 0 0 -1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563993397476 0.655742030496 4 3 0 1 2310 3201 0132 1302 0 0 0 0 0 -1 0 1 1 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 1 0 1 0 0 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.563993397476 0.655742030496 1 5 2 5 0132 0132 2310 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.172736680942 1.259165304823 4 1 2 4 3012 0132 3201 1230 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 -1 0 1 -1 0 0 1 -1 1 0 0 0 1 -1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1.246084976030 0.876559496710 6 3 6 3 0132 0132 1023 1023 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.682767573851 0.265515206772 5 6 5 6 0132 2310 1023 3201 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0.771774553534 0.104228845252 ==TRIANGULATION=ENDS== PY=EVAL=SECTION=BEGINS=HERE {'variable_dict' : (lambda d, negation = (lambda x:-x): { 's_3_1' : d['1'], 's_3_0' : d['1'], 's_3_3' : d['1'], 's_3_2' : d['1'], 's_3_5' : d['1'], 's_3_4' : d['1'], 's_2_0' : d['1'], 's_2_1' : d['1'], 's_2_2' : d['1'], 's_2_3' : d['1'], 's_2_4' : d['1'], 's_2_5' : d['1'], 's_2_6' : d['1'], 's_1_6' : d['1'], 's_1_5' : d['1'], 's_1_4' : d['1'], 's_1_3' : d['1'], 's_1_2' : d['1'], 's_1_1' : d['1'], 's_1_0' : negation(d['1']), 's_0_6' : d['1'], 's_0_4' : d['1'], 's_0_5' : d['1'], 's_0_2' : d['1'], 's_0_3' : d['1'], 's_0_0' : negation(d['1']), 's_0_1' : d['1'], 'c_1100_6' : d['c_0011_1'], 'c_1100_5' : negation(d['c_0011_1']), 'c_1100_4' : negation(d['c_0011_1']), 's_3_6' : d['1'], 'c_1100_1' : d['c_0101_1'], 'c_1100_0' : d['c_0101_1'], 'c_1100_3' : d['c_0011_1'], 'c_1100_2' : d['c_0101_1'], 'c_0101_6' : d['c_0101_6'], 'c_0101_5' : d['c_0101_5'], 'c_0101_4' : d['c_0101_4'], 'c_0101_3' : negation(d['c_0011_0']), 'c_0101_2' : d['c_0101_2'], 'c_0101_1' : d['c_0101_1'], 'c_0101_0' : negation(d['c_0011_0']), 'c_0011_5' : d['c_0011_1'], 'c_0011_4' : negation(d['c_0011_1']), 'c_0011_6' : negation(d['c_0011_1']), 'c_0011_1' : d['c_0011_1'], 'c_0011_0' : d['c_0011_0'], 'c_0011_3' : negation(d['c_0011_1']), 'c_0011_2' : d['c_0011_1'], 'c_1001_5' : d['c_0101_6'], 'c_1001_4' : negation(d['c_0101_2']), 'c_1001_6' : d['c_0101_5'], 'c_1001_1' : d['c_0101_4'], 'c_1001_0' : negation(d['c_0101_2']), 'c_1001_3' : d['c_0101_1'], 'c_1001_2' : d['c_0011_0'], 'c_0110_1' : negation(d['c_0011_0']), 'c_0110_0' : d['c_0101_2'], 'c_0110_3' : d['c_0101_1'], 'c_0110_2' : negation(d['c_0101_4']), 'c_0110_5' : d['c_0101_6'], 'c_0110_4' : negation(d['c_0011_1']), 'c_0110_6' : d['c_0101_5'], 'c_1010_6' : negation(d['c_0101_5']), 'c_1010_5' : d['c_0101_1'], 'c_1010_4' : d['c_0101_4'], 'c_1010_3' : d['c_0101_6'], 'c_1010_2' : negation(d['c_0101_1']), 'c_1010_1' : negation(d['c_0101_2']), 'c_1010_0' : d['c_0011_0']})} PY=EVAL=SECTION=ENDS=HERE PRIMARY=DECOMPOSITION=BEGINS=HERE [ Ideal of Polynomial ring of rank 8 over Rational Field Order: Lexicographical Variables: t, c_0011_0, c_0011_1, c_0101_1, c_0101_2, c_0101_4, c_0101_5, c_0101_6 Inhomogeneous, Dimension 0, Radical, Prime Size of variety over algebraically closed field: 22 Groebner basis: [ t + 764207764/7399351*c_0101_4*c_0101_6^10 - 5397465620/7399351*c_0101_4*c_0101_6^9 + 6346914673/7399351*c_0101_4*c_0101_6^8 + 29334096016/7399351*c_0101_4*c_0101_6^7 - 87956148213/7399351*c_0101_4*c_0101_6^6 + 105128131366/7399351*c_0101_4*c_0101_6^5 - 146440840846/7399351*c_0101_4*c_0101_6^4 + 229021137773/7399351*c_0101_4*c_0101_6^3 - 181603212047/7399351*c_0101_4*c_0101_6^2 + 54875749602/7399351*c_0101_4*c_0101_6 - 3503638083/7399351*c_0101_4, c_0011_0 - 1, c_0011_1 + 1669620/7399351*c_0101_4*c_0101_6^10 - 12075570/7399351*c_0101_4*c_0101_6^9 + 14757406/7399351*c_0101_4*c_0101_6^8 + 67269842/7399351*c_0101_4*c_0101_6^7 - 200105080/7399351*c_0101_4*c_0101_6^6 + 222552343/7399351*c_0101_4*c_0101_6^5 - 315632241/7399351*c_0101_4*c_0101_6^4 + 514437334/7399351*c_0101_4*c_0101_6^3 - 373076780/7399351*c_0101_4*c_0101_6^2 + 102394822/7399351*c_0101_4*c_0101_6 - 12835797/7399351*c_0101_4, c_0101_1 + 1669620/7399351*c_0101_6^10 - 12075570/7399351*c_0101_6^9 + 14757406/7399351*c_0101_6^8 + 67269842/7399351*c_0101_6^7 - 200105080/7399351*c_0101_6^6 + 222552343/7399351*c_0101_6^5 - 315632241/7399351*c_0101_6^4 + 514437334/7399351*c_0101_6^3 - 373076780/7399351*c_0101_6^2 + 102394822/7399351*c_0101_6 - 12835797/7399351, c_0101_2 - 1754736/7399351*c_0101_4*c_0101_6^10 + 12043428/7399351*c_0101_4*c_0101_6^9 - 11370218/7399351*c_0101_4*c_0101_6^8 - 74059669/7399351*c_0101_4*c_0101_6^7 + 186715690/7399351*c_0101_4*c_0101_6^6 - 172245113/7399351*c_0101_4*c_0101_6^5 + 258634945/7399351*c_0101_4*c_0101_6^4 - 442023642/7399351*c_0101_4*c_0101_6^3 + 241434197/7399351*c_0101_4*c_0101_6^2 + 8382749/7399351*c_0101_4*c_0101_6 - 5523466/7399351*c_0101_4, c_0101_4^2 - 123837/7399351*c_0101_6^10 - 585572/7399351*c_0101_6^9 + 7764524/7399351*c_0101_6^8 - 7704909/7399351*c_0101_6^7 - 44823247/7399351*c_0101_6^6 + 88944669/7399351*c_0101_6^5 - 66806101/7399351*c_0101_6^4 + 150427204/7399351*c_0101_6^3 - 218254190/7399351*c_0101_6^2 + 84368937/7399351*c_0101_6 - 14583392/7399351, c_0101_5 - 1369228/7399351*c_0101_6^10 + 9475667/7399351*c_0101_6^9 - 10262117/7399351*c_0101_6^8 - 52795302/7399351*c_0101_6^7 + 149943786/7399351*c_0101_6^6 - 174002803/7399351*c_0101_6^5 + 254084642/7399351*c_0101_6^4 - 394265254/7399351*c_0101_6^3 + 290262718/7399351*c_0101_6^2 - 93178689/7399351*c_0101_6 + 13378635/7399351, c_0101_6^11 - 7*c_0101_6^10 + 8*c_0101_6^9 + 38*c_0101_6^8 - 112*c_0101_6^7 + 136*c_0101_6^6 - 196*c_0101_6^5 + 300*c_0101_6^4 - 239*c_0101_6^3 + 88*c_0101_6^2 - 17*c_0101_6 + 1 ] ] PRIMARY=DECOMPOSITION=ENDS=HERE CPUTIME : 0.020 Total time: 0.220 seconds, Total memory usage: 32.09MB